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          C/C++语言的二分查找法及举例
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        <p>  忘了这是在哪里看到的一个练习题，也许对于好多人来说太简单了，自己写的时候修改了很多次才满意，感觉二分查找好像就是二叉树最早的原型吧，记录之  </p>
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<p><strong>二分搜索算法</strong><br>二分搜索算法用于针对已排序的集合进行搜索。<br>搜索结果需要满足以下要求：<br>1.如果有多个可匹配的值，则返回最大的那个索引。<br>2.如果没有找到，则返回失败的位置</p>
<figure class="highlight cpp"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br></pre></td><td class="code"><pre><span class="line"><span class="meta">#<span class="keyword">include</span> <span class="string">&lt;iostream&gt;</span></span></span><br><span class="line"><span class="meta">#<span class="keyword">include</span> <span class="string">&lt;vector&gt;</span></span></span><br><span class="line"></span><br><span class="line"><span class="comment">//该算法无法在匹配之后提前退出</span></span><br><span class="line"><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt; <span class="function">std::<span class="type">size_t</span> <span class="title">binSearch</span><span class="params">(<span class="type">const</span> std::vector&lt;T&gt; &amp;vec, <span class="type">const</span> T &amp;e)</span></span></span><br><span class="line"><span class="function"></span>&#123;</span><br><span class="line">    std::<span class="type">size_t</span> lo = <span class="number">0</span>, hi = vec.<span class="built_in">size</span>(), mid = <span class="number">0</span>;</span><br><span class="line">    <span class="keyword">while</span> (lo &lt; hi) &#123;</span><br><span class="line">        mid = (lo + hi) &gt;&gt; <span class="number">1</span>;</span><br><span class="line">        e &lt; vec[mid] ? hi = mid : lo = mid + <span class="number">1</span>;     <span class="comment">//让lo最终定位在比所需匹配元素大一个索引的位置</span></span><br><span class="line">    &#125;</span><br><span class="line">    <span class="keyword">return</span> --lo;</span><br><span class="line">&#125;</span><br><span class="line"></span><br><span class="line"><span class="function"><span class="type">int</span> <span class="title">main</span><span class="params">(<span class="type">void</span>)</span></span></span><br><span class="line"><span class="function"></span>&#123;</span><br><span class="line">    std::vector&lt;<span class="type">int</span>&gt; vec&#123;<span class="number">1</span>, <span class="number">2</span>, <span class="number">4</span>, <span class="number">4</span>, <span class="number">4</span>, <span class="number">5</span>, <span class="number">5</span>, <span class="number">5</span>, <span class="number">5</span>, <span class="number">7</span>, <span class="number">9</span>, <span class="number">10</span>, <span class="number">10</span>, <span class="number">11</span>&#125;;</span><br><span class="line">    std::cout &lt;&lt; <span class="string">&quot;Original array:&quot;</span> &lt;&lt; std::endl;</span><br><span class="line">    std::cout &lt;&lt; <span class="string">&quot;  Num: &quot;</span>;</span><br><span class="line">    <span class="keyword">for</span> (<span class="keyword">auto</span> v : vec) </span><br><span class="line">        std::cout &lt;&lt; v &lt;&lt; <span class="string">&quot; &quot;</span>;</span><br><span class="line">    std::cout &lt;&lt; std::endl &lt;&lt; <span class="string">&quot;Index: &quot;</span>;</span><br><span class="line">    <span class="keyword">for</span> (<span class="type">int</span> i = <span class="number">0</span>; i &lt; vec.<span class="built_in">size</span>(); ++i) </span><br><span class="line">        std::cout &lt;&lt; i &lt;&lt; <span class="string">&quot; &quot;</span>;</span><br><span class="line">    <span class="type">int</span> e, res;</span><br><span class="line">    std::cout &lt;&lt; std::endl &lt;&lt; <span class="string">&quot;Enter your number: &quot;</span>; </span><br><span class="line">    <span class="keyword">while</span> (std::cin &gt;&gt; e) &#123;</span><br><span class="line">        res = <span class="built_in">binSearch</span>&lt;<span class="type">int</span>&gt;(vec, e);</span><br><span class="line">        <span class="keyword">if</span> (vec[res] == e) </span><br><span class="line">            std::cout &lt;&lt; <span class="string">&quot;Ok: &quot;</span> &lt;&lt; res &lt;&lt; std::endl;</span><br><span class="line">        <span class="keyword">else</span> </span><br><span class="line">            std::cout &lt;&lt; <span class="string">&quot;NO: &quot;</span> &lt;&lt; res &lt;&lt; std::endl;</span><br><span class="line">        std::cout &lt;&lt; std::endl &lt;&lt; <span class="string">&quot;Enter your number: &quot;</span>; </span><br><span class="line">    &#125;</span><br><span class="line">    <span class="keyword">return</span> <span class="number">0</span>;</span><br><span class="line">&#125;</span><br></pre></td></tr></table></figure>

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